What have you tried so far? You've found the first and second derivatives, evaluated them at the given x-values and set them equal to the given y-values, and... then what?
Please be complete. Thank you!
Suppose that f(x)=2xe^-4x.Find a quadratic function g(x)=ax^2+bx+c
such that g(0)=f(0),g'(0)=f'(0) and g"(0)=f"(0).This function g is called the quadratic approximation to f near x=0.